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Steel and Composite Structures Volume 46, Number 3, February10 2023 , pages 335-344 DOI: https://doi.org/10.12989/scs.2023.46.3.335 |
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Nonlinear free vibration analysis of a composite beam reinforced by carbon nanotubes |
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M. Alimoradzadeh and Ş.D. Akbaş
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| Abstract | ||
| This investigation presents nonlinear free vibration of a carbon nanotube reinforced composite beam based on the Von Karman nonlinearity and the Euler-Bernoulli beam theory The material properties of the structure is considered as made of a polymeric matrix by reinforced carbon nanotubes according to different material distributions. The governing equations of the nonlinear vibration problem is delivered by using Hamilton's principle and the Galerkin's decomposition technique is utilized to discretize the governing nonlinear partial differential equation to nonlinear ordinary differential equation and then is solved by using of multiple time scale method. The nonlinear natural frequency and the nonlinear free response of the system is obtained with the effect of different patterns of reinforcement. | ||
| Key Words | ||
| carbon nanotubes; composite beams; geometric nonlinearity; nonlinear vibration | ||
| Address | ||
| M. Alimoradzadeh:Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran Ş.D. Akbaş:Bursa Technical University, Department of Civil Engineering, Mimar Sinan Campus, Y | ||